Least Common Multiple of 63 and 71
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 63 and 71 the smallest integer that is 4473 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 71 is 4473.
LCM(63,71) = 4473
LCM of 63 and 71
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 63 and 71 by Prime method
- Least Common Multiple of 63 and 71 with GCF Formula
LCM of 63 and 71 is 4473
Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 71. First we will calculate the prime factors of 63 and 71.
Prime Factorization of 63
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:
63 = 32×71
Prime Factorization of 71
| 71 | 71 |
| 1 |
Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:
71 = 711
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 71.
LCM(63,71) = 32×71×711
LCM(63,71) = 4473
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1, 71
Least Common Multiple of 63 and 71 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63 and 71, than apply into the LCM equation.
GCF(63,71) = 1
LCM(63,71) = ( 63 × 71) / 1
LCM(63,71) = 4473 / 1
LCM(63,71) = 4473
Properties of LCM 63 and 71
(i) The LCM of 71 and 63 is associative
LCM of 63 and 71 = LCM of 71 and 63
Related Least Common Multiples of 63
Related Least Common Multiples of 71
Frequently Asked Questions on LCM of 63 and 71
1. What is the LCM of 63 and 71?
Answer: LCM of 63 and 71 is 4473.
2. What are the Factors of 63?
Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.
3. What are the Factors of 71?
Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.
4. How to Find the LCM of 63 and 71?
Answer:
Least Common Multiple of 63 and 71 = 4473
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 71
71 = 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4473 = 3 x 3 x 7 x 71
Step 4: Therefore, the least common multiple of 63 and 71 is 4473.
